8182775040 has 288 divisors, whose sum is σ = 28763102592. Its totient is φ = 1982464000.

The previous prime is 8182775017. The next prime is 8182775119. The reversal of 8182775040 is 405772818.

It is a junction number, because it is equal to n+sod(n) for n = 8182774983 and 8182775001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5110240 + ... + 5111840.

It is an arithmetic number, because the mean of its divisors is an integer number (99871884).

Almost surely, 2^8182775040 is an apocalyptic number.

8182775040 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8182775040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14381551296).

8182775040 is an abundant number, since it is smaller than the sum of its proper divisors (20580327552).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8182775040 is a wasteful number, since it uses less digits than its factorization.

8182775040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1658 (or 1622 counting only the distinct ones).

The product of its (nonzero) digits is 125440, while the sum is 42.

The square root of 8182775040 is about 90458.6924513062. The cubic root of 8182775040 is about 2015.1167080364.

The spelling of 8182775040 in words is "eight billion, one hundred eighty-two million, seven hundred seventy-five thousand, forty".